I'm quite new to physics so this question may sound dumb for many of you. But when I was learning about uniform circular motion, all sources I can find talks about centripetal acceleration, and, when multiplied by mass, the centripetal force. However, when I tried to look up centripetal velocity, I found nothing.
According to my understanding, if there's an acceleration and it's not balanced out(which it's not, because it can actually change the direction of the tangential velocity) then it must induce a velocity. If so, why doesn't the body get closer and closer toward the centre of the circle?
In projectile motion, we know that X and Y motions are unrelated and do not affect each other, could this also be the case in circular motion? The tangential velocity and the centripetal velocity(if exists) are perpendicular and therefore do not affect each other, but together they affect to direction of the body's motion. It's just that in projectile motion, the Y motion always points to the ground, causing a parabolic motion, whereas in circular motion the centripetal acceleration always changes direction(always points to the centre of circle) which is why a circular path is caused. Am I right?